How Did Emmy Noether Derive Her Equation for Variational Symmetries in 1915?

[bdj03001]

I am in need of Noether's paper she wrote in around 1915 about variational symmetries.

I need to know how she found that [for an ode L(x,y,y')]if an X and Y (infinitesimals) exists then you can rewrite the Euler-Lagrange Equation in terms of L(x,y,y'), X(x,y) and Y(x,y).

This is really amazing how she didn't this. So instead of solving for y(x) in the E-L equ you can just plug it into the equation she came up with.

If anyone could find the paper she wrote that would be awesome!

Thanks

 

[bdj03001]

Ok, I found it. thanks anyways.(http://www.physics.ucla.edu/~cwp/lists/accDB_su.html)

Symmetry is THE most powerful tool in solving differential equations. If you are a young math major you should difinitely think about going to a school where symmetry classes are avaliable.

 

[Doc Al]

Speaking of Emmy Noether...

Leon Lederman has written an excellent, non-technical book dedicated to symmetry in physics. It is a long-overdue, popular homage to Emmy Noether!

Symmetry and the Beautiful Universe
by Leon M. Lederman & Christopher T. Hill​